Answer:
see explanation
Step-by-step explanation:
If y is proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k divide both sides by x
k = 
This value must be constant for all ordered pairs, thus
k = 
= 
k = 
=
k = 
=
k =
Since k is constant for all ordered pairs then y is proportional to x
Answer:
The answer is 1/10
Step-by-step explanation:
Let us take the Shaded region be x
So,
2/5 + x = 1/2
Now, Solve for x
x + 2/5 = 1/2
5x + 2/5 = 1/2
2(5x + 2) = 5(1)
10x + 4 = 5
10x + 4 – 4 = 5 – 4
10x= 1
10x/10 = 1/10
x = 1/10
Thus, The value of x is 1/10
<h3>
<u>For</u><u> Verification</u>;</h3>
2/5 + x = 1/2
2/5 + 1/10 = 1/2
2 × 2/5 × 2 + 1/10 = 1/2
4/10 + 1/10 = 1/2
4 + 1/10 = 1/2
5/10 = 1/2
1/2 = 1/2
L.H.S = R.H.S
Hence Verified!
<u>-TheUnknownScientist</u><u> 72</u>
1. The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ
Where:
A = the future value = ?
P = the principal investment amount = $2000
r = interest rate = 4%
n = the number of times that interest is compounded per year = 4
x = the number of years = 5
Calculations:
A = 2000 (1 + 0.04/4)²⁰
A = 2000 (1 + 0.01)²⁰
A = 2000 (1.01)²⁰
A = 2000 ₓ 1.22
A = $2440.38
2. The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ
Where:
A = the future value = ?
P = the principal investment amount = $50
r = interest rate = 48%
n = the number of times that interest is compounded per year = 12
x = the number of years = 2
Calculations:
A = 50 (1 + 0.48/12)²⁴
A = 50 (1 + 0.04)²⁴
A = 50 (1.04)²⁴
A = 50 ₓ 2.56
A = $128.16
3. The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ
Where:
A = the future value = ?
P = the principal investment amount = $50
r = interest rate = 4%
n = the number of times that interest is compounded per year = 12
x = the number of years = 3
Calculations:
A = 50 (1 + 0.04/12)³⁶
A = 50 (1 + 0.003)³⁶
A = 50 (1.003)³⁶
A = 50 ₓ 1.12
A = $56.36
Answer:
( x-3) ^2 + ( y-1) ^2 = 4
Step-by-step explanation:
The equation for a circle is given by
( x-h)^2 + ( y-k) ^2 = r^2 where (h,k) is the center and r is the radius
( x-3) ^2 + ( y-1) ^2 = 2^2
( x-3) ^2 + ( y-1) ^2 = 4
